Analysis of Variance
Department of Educational Psychology
Agenda
1 Overview and Introduction
2 Terminology
3 Independent and Mutually Exclusive Events
4 Contingency Tables
5 Tree and Venn Diagrams
6 Conclusion
Agenda
1 Overview and Introduction
2 Terminology
3 Independent and Mutually Exclusive Events
4 Contingency Tables
5 Tree and Venn Diagrams
6 Conclusion
In the scenario that we aim to calculate the probability of a single event in an equally likely sample space:
Steps to calculate:
Do a coin toss of a dime and nickel
\[ P(A|B) = \frac{A \cap B}{B} \]
Agenda
1 Overview and Introduction
2 Terminology
3 Independent and Mutually Exclusive Events
4 Contingency Tables
5 Tree and Venn Diagrams
6 Conclusion
\[ P(A \cap B) = 0.00 \]
Agenda
1 Overview and Introduction
2 Terminology
3 Independent and Mutually Exclusive Events
4 Contingency Tables
5 Tree and Venn Diagrams
6 Conclusion
Agenda
1 Overview and Introduction
2 Terminology
3 Independent and Mutually Exclusive Events
4 Contingency Tables
5 Tree and Venn Diagrams
6 Conclusion
Agenda
1 Overview and Introduction
2 Terminology
3 Independent and Mutually Exclusive Events
4 Contingency Tables
5 Tree and Venn Diagrams
6 Conclusion
Probability is a tough subject, but it is critical as a foundation topic prior to understanding inferential statistics!
Understand that when we discuss statistical results going forward, it will always be in through the lens of probabilities and likelihood of outcomes.
While “real” statistics won’t often involve intensive hand calculation of probabilities, you should still have a foundation appreciation of how to do it - just like we did with standard deviation.
Module 3 Lecture - Transformations and Non-parametric Comparisons for Two Groups || Analysis of Variance